Genetic factor simulations for hiv infectivity in viral dynamics

Abstract

Mathematical models of HIV/blood interactions were formulated by several researchers. Those models suffered some setbacks because they lacked actual experimental data to validate them. As a solution, values were arbitrary assigned by mathematicians and model developers to both biological processes of infectivity and control infectivity in viral dynamics. Genetic factor in HIV infectivity that assures disease progression as in reality expressed from adhesive interfacial free energy concept following the successes recorded by researchers on the role of surface thermodynamics in HIV-blood interactions is estimated from simulated infection time-course that shows a disease progression obtainable in practice. The methodology involved analytical establishment of range for genetic factors in viral dynamics since there is direct evidence of genetic factor in HIV infectivity, importing values to quantify infectivity parameter expressed through surface thermodynamics and simulating an adopted viral dynamics model incorporated with various adopted genetic factor using MATLABTM function ode 45 in ninety different simulations. The MATLABTM function ode 45 makes use of an explicit Runge-Kutta formula by numerical integration of the model.